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fiasKO [112]
3 years ago
12

During his first three months with the Houston Astros, Yordan Álvarez's batting average was represented by three hundred sevente

en thousandths.
What is the value of the digit in the hundredths place written using numerals and expanded notation?
0.3 and (3 x110)
100 and (1 x 100)
0.01 and (1 x1100)
0.007 and (7 x11000)
Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

The correct option is;

0.01 and (1 × 1/100)

Step-by-step explanation:

The given parameters includes;

The batting average of Yordan Alvarez's = 0.317

Therefore, we have;

The digit in the hundredths place = 0.01

The expanded notation for the value of the hundredth place is given by the product of the digit and the place value digit as follows;

The expanded notation = 1 × 1/100.

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kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

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Step-by-step explanation:

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